{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "-knK4sZodDZg"
      },
      "source": [
        "##### Copyright 2018 The TensorFlow Authors.\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "zAM8G9A4dF4R"
      },
      "outputs": [],
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\"); { display-mode: \"form\" }\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "cPw5xFcq1kpw"
      },
      "source": [
        "\u003ctable class=\"tfo-notebook-buttons\" align=\"left\"\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca target=\"_blank\" href=\"https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/colab_logo_32px.png\" /\u003eRun in Google Colab\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca target=\"_blank\" href=\"https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/GitHub-Mark-32px.png\" /\u003eView source on GitHub\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "\u003c/table\u003e"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "5MzjGu_O7HwY"
      },
      "source": [
        "# Eight schools\n",
        "\n",
        "The eight schools problem ([Rubin 1981](https://www.jstor.org/stable/1164617)) considers the effectiveness of SAT coaching programs conducted in parallel at eight schools. It has become a classic problem ([Bayesian Data Analysis](http://www.stat.columbia.edu/~gelman/book/), [Stan](https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started)) that illustrates the usefulness of hierarchical modeling for sharing information between exchangeable groups.\n",
        "\n",
        "The Edward2 implemention below is an adaptation of an Edward 1.0 [tutorial](https://github.com/blei-lab/edward/blob/master/notebooks/eight_schools.ipynb).  "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "TNuvn0Ih4D_R"
      },
      "source": [
        "# Imports"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "XMTEI6ep4D_S"
      },
      "outputs": [],
      "source": [
        "from __future__ import absolute_import\n",
        "from __future__ import division\n",
        "from __future__ import print_function\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "\n",
        "import tensorflow as tf\n",
        "import tensorflow_probability as tfp\n",
        "from tensorflow_probability import edward2 as ed\n",
        "import warnings\n",
        "\n",
        "plt.style.use(\"ggplot\")\n",
        "warnings.filterwarnings('ignore')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "cIbNcemwwO2y"
      },
      "source": [
        "# The Data\n",
        "\n",
        "From Bayesian Data Analysis, section 5.5 (Gelman et al. 2013):\n",
        "\n",
        "\u003e *A study was performed for the Educational Testing Service to analyze the effects of special coaching programs for SAT-V (Scholastic Aptitude Test-Verbal) in each of eight high schools. The outcome variable in each study was the score on a special administration of the SAT-V, a standardized multiple choice test administered by the Educational Testing Service and used to help colleges make admissions decisions; the scores can vary between 200 and 800, with mean about 500 and standard deviation about 100. The SAT examinations are designed to be resistant to short-term efforts directed specifically toward improving performance on the test; instead they are designed to reflect knowledge acquired and abilities developed over many years of education. Nevertheless, each of the eight schools in this study considered its short-term coaching program to be very successful at increasing SAT scores. Also, there was no prior reason to believe that any of the eight programs was more effective than any other or that some were more similar in effect to each other than to any other.*\n",
        "\n",
        "\n",
        "For each of the eight schools ($J = 8$), we have an estimated treatment effect $y_j$ and a standard error of the effect estimate $\\sigma_j$. The treatment effects in the study were obtained by a linear regression on the treatment group using PSAT-M and PSAT-V scores as control variables. As there was no prior belief that any of the schools were more or less similar or that any of the coaching programs would be more effective, we can consider the treatment effects as [exchangeable](https://en.wikipedia.org/wiki/Exchangeable_random_variables)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "colab_type": "code",
        "id": "rSngqHwAKv_j",
        "outputId": "db4a11bc-9946-4be9-a362-3b65f29a08ca"
      },
      "outputs": [
        {
          "data": {
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XFxYW1jidWZu8vDw3TFa/1NU1q66uls1mq7PzuQNrwBqcFh4e7tFrwPvAvVhn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\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f1e0345dc88\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "num_schools = 8  # number of schools\n",
        "treatment_effects = np.array(\n",
        "    [28, 8, -3, 7, -1, 1, 18, 12], dtype=np.float32)  # treatment effects\n",
        "treatment_stddevs = np.array(\n",
        "    [15, 10, 16, 11, 9, 11, 10, 18], dtype=np.float32)  # treatment SE\n",
        "\n",
        "fig, ax = plt.subplots()\n",
        "plt.bar(range(num_schools), treatment_effects, yerr=treatment_stddevs)\n",
        "plt.title(\"8 Schools treatment effects\")\n",
        "plt.xlabel(\"School\")\n",
        "plt.ylabel(\"Treatment effect\")\n",
        "fig.set_size_inches(10, 8)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "S6Yj8WEDwI3L"
      },
      "source": [
        "# Model\n",
        "\n",
        "To capture the data, we use a hierarchical normal model. It follows the generative process,\n",
        "\n",
        "\\begin{align*}\n",
        "\\mu \u0026\\sim \\text{Normal}(\\text{loc}{=}0,\\ \\text{scale}{=}10) \\\\\n",
        "\\log\\tau \u0026\\sim \\text{Normal}(\\text{loc}{=}5,\\ \\text{scale}{=}1) \\\\\n",
        "\\text{for } \u0026 i=1\\ldots 8:\\\\\n",
        "\u0026 \\theta_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\mu,\\ \\text{scale}{=}\\tau \\right) \\\\\n",
        "\u0026 y_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\theta_i,\\ \\text{scale}{=}\\sigma_i \\right) \n",
        "\\end{align*}\n",
        "\n",
        "where $\\mu$ represents the prior average treatment effect and $\\tau$ controls how much variance there is between schools. The $y_i$ and $\\sigma_i$ are observed. As $\\tau \\rightarrow \\infty$, the model approaches the no-pooling model, i.e., each of the school treatment effect estimates are allowed to be more independent. As $\\tau \\rightarrow 0$, the model approaches the complete-pooling model, i.e., all of the school treatment effects are closer to the group average $\\mu$. To restrict the standard deviation to be positive, we draw $\\tau$ from a lognormal distribution (which is equivalent to drawing $log(\\tau)$ from a normal distribution).\n",
        "\n",
        "Following [Diagnosing Biased Inference with Divergences](http://mc-stan.org/users/documentation/case-studies/divergences_and_bias.html), we transform the model above into an equivalent non-centered model:\n",
        "\n",
        "\\begin{align*}\n",
        "\\mu \u0026\\sim \\text{Normal}(\\text{loc}{=}0,\\ \\text{scale}{=}10) \\\\\n",
        "\\log\\tau \u0026\\sim \\text{Normal}(\\text{loc}{=}5,\\ \\text{scale}{=}1) \\\\\n",
        "\\text{for } \u0026 i=1\\ldots 8:\\\\\n",
        "\u0026 \\theta_i' \\sim \\text{Normal}\\left(\\text{loc}{=}0,\\ \\text{scale}{=}1 \\right) \\\\\n",
        "\u0026 \\theta_i = \\mu + \\tau \\theta_i' \\\\\n",
        "\u0026 y_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\theta_i,\\ \\text{scale}{=}\\sigma_i \\right) \n",
        "\\end{align*}\n",
        "\n",
        "We reify this model as an Edward2 program:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "EiEtvl1zokAG"
      },
      "outputs": [],
      "source": [
        "def schools_model(num_schools, treatment_stddevs):\n",
        "  avg_effect = ed.Normal(loc=0., scale=10., name=\"avg_effect\")  # `mu` above\n",
        "  avg_stddev = ed.Normal(\n",
        "      loc=5., scale=1., name=\"avg_stddev\")  # `log(tau)` above\n",
        "  school_effects_standard = ed.Normal(\n",
        "      loc=tf.zeros(num_schools),\n",
        "      scale=tf.ones(num_schools),\n",
        "      name=\"school_effects_standard\")  # `theta_prime` above\n",
        "  school_effects = avg_effect + tf.exp(\n",
        "      avg_stddev) * school_effects_standard  # `theta` above\n",
        "  treatment_effects = ed.Normal(\n",
        "      loc=school_effects, scale=treatment_stddevs,\n",
        "      name=\"treatment_effects\")  # `y` above\n",
        "  return treatment_effects\n",
        "\n",
        "log_joint = ed.make_log_joint_fn(schools_model)\n",
        "\n",
        "\n",
        "def target_log_prob_fn(avg_effect, avg_stddev, school_effects_standard):\n",
        "  \"\"\"Unnormalized target density as a function of states.\"\"\"\n",
        "  return log_joint(\n",
        "      num_schools=num_schools,\n",
        "      treatment_stddevs=treatment_stddevs,\n",
        "      avg_effect=avg_effect,\n",
        "      avg_stddev=avg_stddev,\n",
        "      school_effects_standard=school_effects_standard,\n",
        "      treatment_effects=treatment_effects)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "jnVK-1yH9WCY"
      },
      "source": [
        "# Bayesian Inference\n",
        "\n",
        "Given data, we perform Hamiltonian Monte Carlo (HMC) to calculate the posterior distribution over the model's parameters."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "colab_type": "code",
        "id": "-66vCUVrQRnb",
        "outputId": "c6d7f3d0-073b-4d6c-9d7f-55826134d596"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.6186\n"
          ]
        }
      ],
      "source": [
        "num_results = 5000\n",
        "num_burnin_steps = 3000\n",
        "\n",
        "states, kernel_results = tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=[\n",
        "        tf.zeros([], name='init_avg_effect'),\n",
        "        tf.zeros([], name='init_avg_stddev'),\n",
        "        tf.ones([num_schools], name='init_school_effects_standard'),\n",
        "    ],\n",
        "    kernel=tfp.mcmc.HamiltonianMonteCarlo(\n",
        "        target_log_prob_fn=target_log_prob_fn,\n",
        "        step_size=0.4,\n",
        "        num_leapfrog_steps=3))\n",
        "\n",
        "avg_effect, avg_stddev, school_effects_standard = states\n",
        "\n",
        "with tf.Session() as sess:\n",
        "  [\n",
        "      avg_effect_,\n",
        "      avg_stddev_,\n",
        "      school_effects_standard_,\n",
        "      is_accepted_,\n",
        "  ] = sess.run([\n",
        "      avg_effect,\n",
        "      avg_stddev,\n",
        "      school_effects_standard,\n",
        "      kernel_results.is_accepted,\n",
        "  ])\n",
        "\n",
        "school_effects_samples = (\n",
        "    avg_effect_[:, np.newaxis] +\n",
        "    np.exp(avg_stddev_)[:, np.newaxis] * school_effects_standard_)\n",
        "num_accepted = np.sum(is_accepted_)\n",
        "print('Acceptance rate: {}'.format(num_accepted / num_results))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 729
        },
        "colab_type": "code",
        "id": "2-iMMOcFvE03",
        "outputId": "3d6e2b56-d76e-41e4-f60e-29332149d350"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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3bh0uXLgAtVqN/fv3o3fv3oiIiLAofXP7Dxw4UNNMLy0tDUuXLsXBgwchSRIqVaqEjIwM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8/pg3/2c/+qIZiNYdLbvhpQRaabf94mOL8yQleLIQcxOOhxldN8uUNy/Wxz+Wmu7zD5H1myB/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S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\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f1e00125a58\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(8, 2, sharex='col', sharey='col')\n",
        "fig.set_size_inches(12, 10)\n",
        "for i in range(num_schools):\n",
        "  axes[i][0].plot(school_effects_samples[:,i])\n",
        "  axes[i][0].title.set_text(\"School {} treatment effect chain\".format(i))\n",
        "  sns.kdeplot(school_effects_samples[:,i], ax=axes[i][1], shade=True)\n",
        "  axes[i][1].title.set_text(\"School {} treatment effect distribution\".format(i))\n",
        "axes[num_schools - 1][0].set_xlabel(\"Iteration\")\n",
        "axes[num_schools - 1][1].set_xlabel(\"School effect\")\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 153
        },
        "colab_type": "code",
        "id": "l4t9XLxSszBe",
        "outputId": "45b3857b-1abd-4dff-e177-692ce11a7aa3"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "E[avg_effect] = 6.494342803955078\n",
            "E[avg_stddev] = 2.436934471130371\n",
            "E[school_effects_standard] =\n",
            "[ 0.66298497  0.06529777 -0.26186424  0.01561266 -0.385506   -0.2165112\n",
            "  0.47715753  0.1520656 ]\n",
            "E[school_effects] =\n",
            "[15.3593855  7.3573384  3.1578748  6.775903   1.9274986  3.822677\n",
            " 12.657511   8.500975 ]\n"
          ]
        }
      ],
      "source": [
        "print(\"E[avg_effect] = {}\".format(avg_effect_.mean()))\n",
        "print(\"E[avg_stddev] = {}\".format(avg_stddev_.mean()))\n",
        "print(\"E[school_effects_standard] =\")\n",
        "print(school_effects_standard_[:, ].mean(0))\n",
        "print(\"E[school_effects] =\")\n",
        "print(school_effects_samples[:, ].mean(0))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "Wxp1uFW6RWMW"
      },
      "outputs": [],
      "source": [
        "# Compute the 95% interval for school_effects\n",
        "school_effects_low = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 2.5) for i in range(num_schools)\n",
        "])\n",
        "school_effects_med = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 50) for i in range(num_schools)\n",
        "])\n",
        "school_effects_hi = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 97.5)\n",
        "    for i in range(num_schools)\n",
        "])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "colab_type": "code",
        "id": "yY-qBFTotd3F",
        "outputId": "e4d9fc9b-1d40-47f6-ae34-ff8281155b42"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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hYXBzc0NcXBz8/f3Rv39/HDx4EE5OTvjhhx8K3efvv/+OLVu2YPbs2Thy5Agm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\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f1dfc58d6a0\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, ax = plt.subplots(nrows=1, ncols=1, sharex=True)\n",
        "ax.scatter(np.array(range(num_schools)), school_effects_med, color='red', s=60)\n",
        "ax.scatter(\n",
        "    np.array(range(num_schools)) + 0.1, treatment_effects, color='blue', s=60)\n",
        "\n",
        "avg_effect = avg_effect_.mean()\n",
        "\n",
        "plt.plot([-0.2, 7.4], [avg_effect, avg_effect], 'k', linestyle='--')\n",
        "\n",
        "ax.errorbar(\n",
        "    np.array(range(8)),\n",
        "    school_effects_med,\n",
        "    yerr=[\n",
        "        school_effects_med - school_effects_low,\n",
        "        school_effects_hi - school_effects_med\n",
        "    ],\n",
        "    fmt='none')\n",
        "\n",
        "ax.legend(('avg_effect', 'Edward2/HMC', 'Observed effect'), fontsize=14)\n",
        "\n",
        "plt.xlabel('School')\n",
        "plt.ylabel('Treatment effect')\n",
        "plt.title('Edward2 HMC estimated school treatment effects vs. observed data')\n",
        "fig.set_size_inches(10, 8)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "2dV93ZSzGSIm"
      },
      "source": [
        "We can observe the shrinkage toward the group `avg_effect` above."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "colab_type": "code",
        "id": "LcljZ1prD91d",
        "outputId": "c3eed6e1-5b00-4ddf-c40c-1c045c4f6b0c"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Inferred posterior mean: 7.44\n",
            "Inferred posterior mean se: 10.01\n"
          ]
        }
      ],
      "source": [
        "print(\"Inferred posterior mean: {0:.2f}\".format(\n",
        "    np.mean(school_effects_samples[:,])))\n",
        "print(\"Inferred posterior mean se: {0:.2f}\".format(\n",
        "    np.std(school_effects_samples[:,])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "vWPCzgk7IMgt"
      },
      "source": [
        "# Criticism\n",
        "\n",
        "To get the posterior predictive distribution, i.e., a model of new data $y^*$ given the observed data $y$:\n",
        "\n",
        "$$ p(y^*|y) \\propto \\int_\\theta p(y^* | \\theta)p(\\theta |y)d\\theta$$\n",
        "\n",
        "we \"intercept\" the values of the random variables in the model to set them to the mean of the posterior distribution and sample from that model to generate new data $y^*$."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "6eV4Cx0HQeMU"
      },
      "outputs": [],
      "source": [
        "interceptor = ed.make_value_setter(\n",
        "    avg_effect=np.mean(avg_effect_, 0),\n",
        "    avg_stddev=np.mean(avg_stddev_, 0),\n",
        "    school_effects_standard=np.mean(school_effects_standard_, 0))\n",
        "\n",
        "with ed.interception(interceptor):\n",
        "  posterior = schools_model(\n",
        "      num_schools=num_schools, treatment_stddevs=treatment_stddevs)\n",
        "\n",
        "with tf.Session() as sess:\n",
        "  posterior_predictive = sess.run(\n",
        "      posterior.distribution.sample(sample_shape=(5000)))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 742
        },
        "colab_type": "code",
        "id": "y3c8W--fPmph",
        "outputId": "489e1285-2dcb-456e-ca2d-43b9138a1801"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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by1NPPQU/Pz88/vjj8PLywvjx4xEcHIzHH3/ctNz8/XRJ++UJEybgsccew3PP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\nm/E8j3nz5gHw5JNP8uCDDxIVFUV0dDRnnXVWmRc5d+3alb5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ERERERI5Fua65GjVqVKnp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hDPWAcEr+hYAjp1arLXoiG/05tSQ8fdUl+H6tRVl4Lb7qN8/27w8MA4PKxeWofj1G0HxscXh18A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\nAjz66KO8/fbbPPzwwyxevJgvv/yS22+/nQcffJB33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uzZQ0ZGBpMnT+bss88mJiaGwYMH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\nQmCC\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f1dfb526e80\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n",
        "fig.set_size_inches(12, 10)\n",
        "fig.tight_layout()\n",
        "for i, ax in enumerate(axes):\n",
        "  sns.kdeplot(posterior_predictive[:, 2*i], ax=ax[0], shade=True)\n",
        "  ax[0].title.set_text(\n",
        "      \"School {} treatment effect posterior predictive\".format(2*i))\n",
        "  sns.kdeplot(posterior_predictive[:, 2*i + 1], ax=ax[1], shade=True)\n",
        "  ax[1].title.set_text(\n",
        "      \"School {} treatment effect posterior predictive\".format(2*i + 1))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "ATOOfzg0HMII"
      },
      "outputs": [],
      "source": [
        "# The mean predicted treatment effects for each of the eight schools.\n",
        "prediction = posterior_predictive.mean(axis=0)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "MkwASzOLSgbs"
      },
      "source": [
        "We can look at the residuals between the treatment effects data and the predictions of the model posterior. These correspond with the plot above which shows the shrinkage of the estimated effects toward the population average."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "colab_type": "code",
        "id": "ulqqNf_AHMBm",
        "outputId": "1c49d020-30a1-4f06-baa0-6403c7f6970b"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "array([13.547078 ,  0.6978545, -6.5432277,  0.403275 , -3.065589 ,\n",
              "       -2.8096433,  6.102947 ,  3.5494385], dtype=float32)"
            ]
          },
          "execution_count": 15,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "treatment_effects - prediction"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "0KMqrBaGRo4S"
      },
      "source": [
        "Because we have a distribution of predictions for each school, we can consider the distribution of residuals as well."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "7j9RAYhIRDDz"
      },
      "outputs": [],
      "source": [
        "residuals = treatment_effects - posterior_predictive"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 742
        },
        "colab_type": "code",
        "id": "zW1RKYtBRIhd",
        "outputId": "64c06680-22b0-4eab-d3a3-b0efe39d0376"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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ePJnnnnuuyP579erlu924ceMi2z9+/ZKU9Nl+tuvv3LmTuLg437Lg4GCGDBkCeM9VLo3j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\njPPeq9h/PQZBQZirb8ac061WtmNCQjH9hmFuvRszYDiUFGNfmY/zh9u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RZGdnEx4eTnZ2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\nRCSJ/gfSGNYmRp9UvQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cmatplotlib.figure.Figure at 0x7f1e0341a3c8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n",
        "fig.set_size_inches(12, 10)\n",
        "fig.tight_layout()\n",
        "for i, ax in enumerate(axes):\n",
        "  sns.kdeplot(residuals[:, 2*i], ax=ax[0], shade=True)\n",
        "  ax[0].title.set_text(\n",
        "      \"School {} treatment effect residuals\".format(2*i))\n",
        "  sns.kdeplot(residuals[:, 2*i + 1], ax=ax[1], shade=True)\n",
        "  ax[1].title.set_text(\n",
        "      \"School {} treatment effect residuals\".format(2*i + 1))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "PIReUYcT0CEZ"
      },
      "source": [
        "# Acknowledgements\n",
        "\n",
        "This tutorial was originally written in Edward 1.0 ([source](https://github.com/blei-lab/edward/blob/master/notebooks/eight_schools.ipynb)). We thank all contributors to writing and revising that version."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "g7cgoQ1XyqGv"
      },
      "source": [
        "# References\n",
        "1. Donald B. Rubin. Estimation in parallel randomized experiments. Journal of Educational Statistics, 6(4):377-401, 1981.\n",
        "2. Andrew Gelman, John Carlin, Hal Stern, David Dunson, Aki Vehtari, and Donald Rubin. Bayesian Data Analysis, Third Edition. Chapman and Hall/CRC, 2013."
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [
        "cPw5xFcq1kpw",
        "TNuvn0Ih4D_R",
        "cIbNcemwwO2y",
        "S6Yj8WEDwI3L",
        "jnVK-1yH9WCY",
        "vWPCzgk7IMgt",
        "PIReUYcT0CEZ",
        "g7cgoQ1XyqGv"
      ],
      "name": "Eight_Schools.ipynb",
      "toc_visible": true,
      "version": "0.3.2"
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
